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Finding the Third Proportional to 416,950 and 910,358

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Solution

The third proportional to 416,950 and 910,358 is: 1,987,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,950 : 910,358 = 910,358 : x
  2. Step 2: Convert to fraction form
    416,950/910,358 = 910,358/x
  3. Step 3: Cross multiply
    416,950x = 910,358 × 910,358
  4. Step 4: Simplify right side
    416,950x = 828,751,688,164
  5. Step 5: Solve for x
    x = 828,751,688,164/416,950
  6. Step 6: Final answer
    x = 1,987,652.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.